On computing of positive integer powers for r-circulant matrices

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摘要

In this paper, we give a method of computing arbitrary positive integer powers for arbitrary order r-circulant matrices by using the basis expression of r-circulant matrices in matrix spaces and the Multinomial Theorem.

论文关键词：r-Circulant matrix,Powers,The Multinomial Theorem

论文评审过程：Received 19 January 2015, Revised 23 April 2015, Accepted 2 May 2015, Available online 2 June 2015, Version of Record 2 June 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.05.022